λ
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Atlas › Integer Profiles › Node 4,359,355

4,359,355

5 × 7 × 11 × 132 × 67
Deficient Odd Composite

4,359,355 factors as 5 × 7 × 11 × 13^2 × 67. Its 48 positive divisors give a proper-divisor sum of 2,808,389, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 13^2 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,167,744
Proper Divisor Sum 2,808,389
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4359353 ← → #4359373

Radix Representation

Decimal 4359355
Binary 10000101000010010111011 (23 bits)
Octal 0o20502273
Hexadecimal 0x4284BB

Divisor Catalog (48)

1 5 7 11 13 35 55 65 67 77 91 143 169 335 385 455 469 715 737 845 871 1,001 1,183 1,859 2,345 3,685 4,355 5,005 5,159 5,915 6,097 9,295 9,581 11,323 13,013 25,795 30,485 47,905 56,615 65,065 67,067 79,261 124,553 335,335 396,305 622,765 871,871 4,359,355

Collatz Trajectory (211 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,359,355 13,078,066 6,539,033 19,617,100 9,808,550 4,904,275 14,712,826 7,356,413 22,069,240 11,034,620 5,517,310 2,758,655 8,275,966 4,137,983 12,413,950 6,206,975 18,620,926 9,310,463 27,931,390 13,965,695 41,897,086 20,948,543 62,845,630 31,422,815 94,268,446 47,134,223 141,402,670 70,701,335 212,104,006 106,052,003 318,156,010 159,078,005 477,234,016 238,617,008 119,308,504 59,654,252 29,827,126 14,913,563 44,740,690 22,370,345 67,111,036 33,555,518 16,777,759 50,333,278 25,166,639 75,499,918 37,749,959 113,249,878 56,624,939 169,874,818 84,937,409 254,812,228 127,406,114 63,703,057 191,109,172 95,554,586 47,777,293 143,331,880 71,665,940 35,832,970

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